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问题: 设abc=1 求a/(ab a 1) b/(bc b 1) c/(ac c 1))=?

设abc=1 求a/(ab+a+1)+b/(bc+b+1)+c/(ac+c+1))=?

求详解

解答:

a/(ab+a+1)=ac/(1+ac+c)=1/(b+1+bc)
b/(bc+b+1)=
c/(ac+c+1))=bc/(1+bc+1)
a/(ab+a+1)+b/(bc+b+1)+c/(ac+c+1))==1/(b+1+bc)+bc/(1+bc+1)+b/(bc+b+1)=1